On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes.I.Sources of Errors in One-Dimensional Problems  

作　　者：Alexander V.Rodionov 

机构地区：[1]Keldysh Institute of Applied Mathematics,Russian Academy of Sciences,Moscow,125047,Russia [2]RFNC–All-Russian Scientific Research Institute of Experimental Physics,Sarov,607188,Russia

出　　处：《Communications in Computational Physics》2023年第8期749-786,共38页计算物理通讯（英文）

基　　金：supported by the Russian Science Foundation(project 22-11-00199).The author would like to thank Tatiana Zezyulina for the qualified assistance in English and the reviewers for their helpful comments.

摘　　要：The article opens a series of publications devoted to a systematic study of numerical errors behind the shock wave when using high-order Godunov-type schemes,including in combination with the artificial viscosity approach.The proposed paper describes the numerical methods used in the study,and identifies the main factors affecting the accuracy of the solution for the case of one-dimensional gas dynamic problems.The physical interpretation of the identified factors is given and their influence on the grid convergence is analyzed.

关 键 词：Shock-capturing methods Riemann problem WENO reconstruction Runge-Kutta method Hancock-Rodionov method artificial viscosity approach Shu-Osher test problem 

分 类 号：O17[理学—数学]